Question

The table represents some points on the graph of a linear equation.What is the rate of change of y with respect to x for this function?

Answer 1

Explanation:

what we know=

x is the independent variable and y is the dependent variable.

our co-ordinates can be expressed in the form of (x value, y value).

so... we only need two points for this so let's just list two points so it goes faster

A(-7,5)

B(-1,65)

alright, now we have two points. we're trying to find the rate of change, which in other words, is the slope.

m=(y-y1)/(x-x1) <-- plug in our points.

m=(65-5)/(-1-(-7)

m=60/(-1+7)

m=60/6

m=10

therefore the rate of change aka the slope of this table of values is 10.

Answer 2

Here you go! Hope this helps